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Urelement

In set theory, a branch of mathematics, an urelement or ur-element (from the German prefix ur-, 'primordial') is an object that is not a set, but that may be an element of a set. It is also referred to as an atom or individual. Ur-elements are also not identical with the empty set.

Urelements in set theory, Quine atoms & Theory

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Overview

Theory

Urelements in set theory

Quine atoms

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Map overview Semantic statistics

Urelement

Nodes50
Edges49
Triples36
Avg. degree1.96
Density0.04
Components1

How this topic connects Entity context

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Urelement

Top relations

related to Urelements in set theory · 21
Urelement → Axiomatizations, Bernays, Fraenkel, Gödel, In, It, Kripke, Mendelson, Mostowski, Neumann, Platek, Suppes, The Zermelo, Thus, Urelements, Von Neumann, Zermelo, ZF, ZFA, ZFC
related to Quine atoms · 9
Urelement → An, In, Mathematical Logic, NF, NFU, Quine, Quine's New Foundations, The, Willard Van Orman Quine
related to External links · 3
Urelement → Eric, MathWorld, Weisstein
related to Theory · 3
Urelement → In, One, There

Important terminology Word statistics

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Important terminology

set urelements theory quine atoms sets axiom nf nfu atom object also case theories cannot called choice non-well-founded may empty

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Urelementrelated to External linksWeisstein0.60section
Urelementrelated to External linksEric0.60section
Urelementrelated to External linksMathWorld0.60section
Urelementrelated to Quine atomsAn0.60section
Urelementrelated to Quine atomsQuine0.60section
Urelementrelated to Quine atomsWillard Van Orman Quine0.60section
Urelementrelated to Quine atomsMathematical Logic0.60section
Urelementrelated to Quine atomsThe0.60section
Urelementrelated to Quine atomsQuine's New Foundations0.60section
Urelementrelated to Quine atomsNF0.60section
Urelementrelated to Quine atomsIn0.60section
Urelementrelated to Quine atomsNFU0.60section

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    Min side: 3
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